Answer:
∴ Δ RUS ~ ΔSUT ....Transitive Property of Equality
.
Step-by-step explanation:
In ΔRST and Δ RUS
∠R ≅ ∠R ……….{Reflexive Property}
∠S ≅ ∠U ……….{ Measure of each angle 90°}
Δ RST ~ ΔRUS ….{By Angle-Angle Similarity test}
.......( 1 )
Similarly,
In ΔRST and Δ SUT
∠T ≅ ∠T ……….{Reflexive Property}
∠S ≅ ∠U ……….{ Measure of each angle 90°}
Δ RST ~ ΔSUT ….{By Angle-Angle Similarity test}
.......( 2 )
Transitive Property of Equality.
The property state :
If a = b and b = c, then a = c.
Therefore,
Δ RST ~ ΔRUS ….{By Angle-Angle Similarity test}
.......( 1 )
Δ RST ~ ΔSUT ….{By Angle-Angle Similarity test}
.......( 2 )
∴ Δ RUS ~ ΔSUT ....Transitive Property of Equality
